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Maharashtra State BoardSSC (English Medium) 10th Standard

In the adjoining figure, ΔADB ∼ ΔBDC. Prove that BD2 = AD × DC. - Geometry Mathematics 2

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Question

In the adjoining figure, ΔADB ∼ ΔBDC. Prove that BD2 = AD × DC.

Theorem
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Solution

Given: ΔADB ∼ ΔBDC

∴ By the corresponding side's criterion of similarity,

`("AD")/("BD") = ("BD")/("DC")`

⇒ AD × DC = BD × BD

⇒ BD2 = AD × DC

Hence proved.

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